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Finding the Third Proportional to 357,302.25 and 784,595.25

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Solution

The third proportional to 357,302.25 and 784,595.25 is: 1,722,882.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,302.25 : 784,595.25 = 784,595.25 : x
  2. Step 2: Convert to fraction form
    357,302.25/784,595.25 = 784,595.25/x
  3. Step 3: Cross multiply
    357,302.25x = 784,595.25 × 784,595.25
  4. Step 4: Simplify right side
    357,302.25x = 615,589,706,322.56
  5. Step 5: Solve for x
    x = 615,589,706,322.56/357,302.25
  6. Step 6: Final answer
    x = 1,722,882.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.